Geodesic
New sufficient conditions for hamiltonian and pancyclic graphs
Discussiones Mathematicae. Graph Theory, Tome 27 (2007) no. 1, pp. 29-38

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For a graph G of order n we consider the unique partition of its vertex set V(G) = A ∪ B with A = v ∈ V(G): d(v) ≥ n/2 and B = v ∈ V(G):d(v) n/2. Imposing conditions on the vertices of the set B we obtain new sufficient conditions for hamiltonian and pancyclic graphs.
Keywords: hamiltonian graphs, pancyclic graphs, closure 
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     title = {New sufficient conditions for hamiltonian and pancyclic graphs},
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Schiermeyer, Ingo; Woźniak, Mariusz. New sufficient conditions for hamiltonian and pancyclic graphs. Discussiones Mathematicae. Graph Theory, Tome 27 (2007) no. 1, pp. 29-38. http://geodesic.mathdoc.fr/item/DMGT_2007_27_1_a2/